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Finding the Fourth Proportional to 146,534.94, 202,222.71 and 82,871.37

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Solution

The fourth proportional to 146,534.94, 202,222.71 and 82,871.37 is: 114,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,534.94 : 202,222.71 = 82,871.37 : x
  2. Step 2: Convert to fraction form
    146,534.94/202,222.71 = 82,871.37/x
  3. Step 3: Cross multiply
    146,534.94x = 202,222.71 × 82,871.37
  4. Step 4: Simplify right side
    146,534.94x = 16,758,473,022.81
  5. Step 5: Solve for x
    x = 16,758,473,022.81/146,534.94
  6. Step 6: Final answer
    x = 114,365.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.